Characteristic Initial Value Problem for Spherically Symmetric Barotropic Flow
Analysis of PDEs
2016-03-08 v1 Fluid Dynamics
Abstract
We study the equations of motion for a barotropic fluid in spherical symmetric flow. Making use of the Riemann invariants we consider the characteristic form of these equations. In a first part, we show that the resulting constraint equations along characteristics can be solved globally away from the center of symmetry. In a second part, given data on two intersecting characteristics, we show existence and uniqueness of a smooth solution in a neighborhood in the future of these characteristics.
Cite
@article{arxiv.1603.01677,
title = {Characteristic Initial Value Problem for Spherically Symmetric Barotropic Flow},
author = {André Lisibach},
journal= {arXiv preprint arXiv:1603.01677},
year = {2016}
}